Respuesta :
Answer:
1/5+1/10=1/x
(2+1)/10=1/x
3/10=1/x
3*x=10
x=10/3
x=3.333
In 3.333 hours
Answer:
3.08 hours
Step-by-step explanation:
Rachel can finish the job in 5 hours.
Part of work done be Rachel in one hour = 1/5
Carl can finish the same job in 8 hours.
Part of work done be Carl in one hour = 1/8
Let together they can finish the work in x hours.
Part of work done they in one hour = 1/x
[tex]\dfrac{1}{5}+\dfrac{1}{8}=\dfrac{1}{x}[/tex]
[tex]\dfrac{8+5}{40}=\dfrac{1}{x}[/tex]
[tex]\dfrac{13}{40}=\dfrac{1}{x}[/tex]
On reciprocal, we get
[tex]\dfrac{40}{13}=x[/tex]
[tex]x=3.076923[/tex]
[tex]x\approx 3.08[/tex]
Therefore, they will finish the job together in 3.08 hours.
